Question

Find the mean, mode, median and range for this data set:



5; 7; 19; 24; 10; 17; 21; 6; 5



Mean: 12.67. Mode: 5. Median: 10. Range: 24 – 5 = 19.

Mean: 12,18. Mode: 6. Median: 10. Range: 24 – 7 = 17.
Mean: 13.67 Mode: 5. Median: 9. Range: 24 – 5 = 19.

Answer 1

To find the mean, mode, median, and range for the data set:

5, 7, 19, 24, 10, 17, 21, 6, 5

Let's calculate each:

1. **Mean**:
Mean = (Sum of all values) / (Number of values)
Sum = 5 + 7 + 19 + 24 + 10 + 17 + 21 + 6 + 5 = 114
Number of values = 9
Mean = 114 / 9 = 12.67

2. **Mode**:
The mode is the value that appears most frequently.
In this dataset, the number 5 appears twice, while all others appear once.
Thus, the mode is 5.

3. **Median**:
The median is the middle value when the data set is ordered.
First, arrange the data in ascending order:
5, 5, 6, 7, 10, 17, 19, 21, 24
Since there are 9 values (odd number), the median is the 5th value:
Median = 10

4. **Range**:
Range = (Maximum value) - (Minimum value)
Maximum value = 24
Minimum value = 5
Range = 24 - 5 = 19

Putting it all together:
- Mean: 12.67
- Mode: 5
- Median: 10
- Range: 19

So the correct summary is:
- Mean: 12.67
- Mode: 5
- Median: 10
- Range: 19.